We study a new Hermite-type interpolating operator arising in a semi-Lagrangian scheme for solving the Vlasov equation in the D phase space. Numerical results on uniform and adaptive grids are shown and compared with the biquadratic Lagrange interpolation introduced in (Campos Pinto and Mehrenberger, 2004) in the case of a rotating Gaussian.
@article{bwmeta1.element.bwnjournal-article-amcv17i3p329bwm,
author = {Mehrenberger, Michel and Violard, Eric},
title = {A Hermite-type adaptive semi-Lagrangian scheme},
journal = {International Journal of Applied Mathematics and Computer Science},
volume = {17},
year = {2007},
pages = {329-334},
zbl = {1145.82343},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-amcv17i3p329bwm}
}
Mehrenberger, Michel; Violard, Eric. A Hermite-type adaptive semi-Lagrangian scheme. International Journal of Applied Mathematics and Computer Science, Tome 17 (2007) pp. 329-334. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-amcv17i3p329bwm/
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